There are 4 representatives from each of 4 companies at a convention. at the start of the convention, every person shakes hands once with every person except the other representatives from their company. how many handshakes are there?

96 ways

Explanation: this is a combination.

If the company reps are designated as A, B, C & D.

A can have Handshakes with the rest 3

B can have Handshakes with the rest 2

C can shake hands with D

So 3+2+1=6 multiplied by the total number of reps i.e 16.

So 16x6=96

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